A high school teacher teaches three classes per day. Her first class has double the number of students as her
second class, while her third class has 13 more students than her second class. In total, she teaches 57
students. The equation 2x + x + (x +13) = 57 represents this scenario, where x is the number of students
in her second class.
How many students are in her second class?
Number
students are in her second class.

Answer:

-2

Step-by-step explanation:

4x - 7 > -17

(add 7 on both sides)

4x > -10

(divide both sides by 4 to isolate x)

x > - 2.5

An integer can not be a fraction. So the smallest integer value x can be is -2 because -2 is greater than -2.5.

Answer:

60

Step-by-step explanation:

using the bodmas

multiply 4 by -3

then multiply with 5

Answer:

(-3,0)

Step by step explanation:

make x the subject of the formula in equation 2

x-3y=-3

x = 3+3y

substitute x in equation 1

5(3+3y)-3y = -15

open the brackets

15+15y-3y = -15

15+12y=-15

12y = 15-15

12y = 0

divide both sides by 12

y = 0

substitute y in equation 2

x - 3(0) = -3

x - 0 = -3

x = -3+0

x = -3

therefore x = -3

y = 0

Answer:

Step-by-step explanation:

First, let's substitute 0 for x, as we can see at x=0, y is going to be -4.

Now to get our second point let's make -2/3x = -4, or just 2/3=4.

We multiply be 3/2 on both sides and get x = 6. This means that at x = 6, y is going to be equal to 0. Now you can graph it out

Answer:It's easy for us to visualize a meter; that's about 3 feet. ... nm (10-9 m) to 100 nanometers (100 x 10-9 = 10-7 m) and the unique properties that arise.

Step-by-step explanation:

Answer:

-1/2

Step-by-step explanation:

2/3 becomes 4/6

4/6 to go to 1/6 is -3/6 or -1/2 (simplified)

Answer:that is actually not correct

Step-by-step explanation:

2x 7 x 5 x 2 do nit equal 48 but they do equal 140

Answer:

-12/35

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Step-by-step explanation:

Given:

Find the values of x using proportions:

or

Answer:

both are c

Step-by-step explanation:

Answer:

To solve for x, isolate it from the other terms.

Add 1 to both sides.

1/2x - 1 + 1 = 4 + 1

Combine like terms.

1/2x = 5

Multiply both sides 2.

x = 5(2)

x = 10

The solution is 10.

Hope this helps! :)

28 years

Step-by-step explanation:

The dog is twice as old as the cat

The monkey is twice as old as the dog.

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

Their total age is 4 years 2 months.

1 year has 12 months

=> 4 years have (4 × 12)

= 48 months

Since, the total age is 4 years 2 months, we can express it in "months" by adding "48" and "2".

= 50 months

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

Sum of their ages = 50 months

=> x + 2x + 4x = 50

=> 7x = 50

=>x = 50/ 7 months

If we write this in mixed fractions the whole number will represent the number of years.

=

[tex] \mathsf{7 \frac{1}{7} \: \: months}[/tex]

[tex] = \mathsf{7 \: years \: \frac{1}{7} \: \: months}[/tex]

The value of 1/ 7 is really small,I.e., 0.1428...

So, we can ignore the fraction while rounding off the term that makes it

[tex] \mathsf{x = 7yrs.(approx.)}[/tex]

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

x is the age of the cat.

The monkey's age is "4x"

= 4 × 7

= 28 years.

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

So, the monkey's age is approximately 28 years

Answer:

[tex]7/2x + 3/2 = 3/2 <=> x = 0[/tex]

Step-by-step explanation:

Answer: 6/6 or 1

Step-by-step explanation:

1/3 can be 2/6 when you b=mulitply the numerator and denominator by 2.

4/6 + 4/6 = 6/6 or 1

ATQ

[tex]\\ \tt\longmapsto 2(x+6x)=1190[/tex]

[tex]\\ \tt\longmapsto 2(7x)=1190[/tex]

[tex]\\ \tt\longmapsto 7x=595[/tex]

[tex]\\ \tt\longmapsto x=595/7[/tex]

[tex]\\ \tt\longmapsto x=85[/tex]

Answer:

numbers are 24 and 210

Step-by-step explanation:

the number are : 24(2x2x2x3) and 210 (3x2x5x7)

GCF of 24 and 210 is 6

LCM of 24 and 210 is 840

9514 1404 393

Answer:

  a. numbers: 24, 210

  b. GCF = 6

  c. LCM = 840

Step-by-step explanation:

The number each circle represents is the product of the factors in that circle:

  red circle: 2×2×2×3 = 24

  blue circle: 2×3×5×7 = 210

The numbers represented in the diagram are 24 and 210.

__

The GCF is the product of the common factors--the factors in the portion of the diagram where the circles overlap:

  GCF = 2×3 = 6

__

The LCM is the product of all of the factors shown in the diagram:

  LCM = 2×2×2×3×5×7 = 840

_____

Additional comment

I personally find this a nice way to represent two numbers, their GCF, and their LCM. Note that there cannot be any numbers in the red (only) part of the diagram that are also in the blue (only) part of the diagram. Any common factors belong in the overlap portion of the diagram.

This diagram makes it easy to see that the LCM is the product of the numbers, divided by their GCF. (The product of the two numbers will have the center portion of the diagram appear twice in the product. It only appears once in the LCM.)

Answer:

x + 2 ( x - 20 )( 4 ) = -70

Step-by-step explanation:

hope this helps. . .<3

Answer:

Given that;

√[5{2(3/4)} - (3/10)]

⇛√[5{11/4 - 3/10}]

Take the LCM of 4 and 10 is 40.

⇛√[5{(55-6)/20}]

⇛√[5{(49/20)}]

⇛√(49/4)

⇛√(7²/2²)

⇛√(7/2)²

⇛√7*7/√2*2

⇛7/2 ≈ 3(1/2) or 3.5 Ans.

Hope this helps!!

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\text{Question \#1}\downarrow\\\\\large\textsf{4 - 4y + y - 3}\\\large\text{COMBINE the LIKE TERMS}\\\large\textsf{= (-4y + y)+ (4 - 3)}\\\large\text{SOLVE IT!}\\\large\textsf{= -3y + 1}\\\huge\text{Therefore, your answer should be: \boxed{\mathsf{-3y + 1}}}\huge\checkmark[/tex]

[tex]\large\text{Question \#2}\downarrow\\\\\large\textsf{7 - 5y + 2 + 1}\\\large\text{COMPARE the LIKE TERMS}\\\large\textsf{= (-5y)+ (7 + 2 + 1)}\\\large\textsf{(-5y) + (9 + 1)}\\\large\textsf{= (-5y) + 10 }\\\huge\text{Therefore, your answer is: \boxed{\mathsf{-5y + 10}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

38.5 in

Step-by-step explanation:

11.25 in + 11.25 in + 8 in + 8 in

= 38.5 in

Answer:

KN be better

sons of if his

The second derivative of the composition between two functions is described by the following expression:

[tex]\frac{d^{2}}{dx^{2}} (f\,\circ\,g\,(x)) = \frac{d^{2}f}{dg^{2}}\cdot \frac{dg}{dx} + \frac{df}{dg} \cdot \frac{d^{2}g}{dx^{2}}[/tex]

Mathematically speaking, a composition between two functions is defined by the following operation:

[tex]f\,\circ\,g\,(x) =f(g(x))[/tex] (1)

By Chain Rule we get the first and second derivatives of the composition:

First derivative

[tex]\frac{d}{dx} (f\,\circ\,g\,(x)) = \frac{df}{dg}\cdot \frac{dg}{dx}[/tex] (2)

Second derivative

[tex]\frac{d^{2}}{dx^{2}} (f\,\circ\,g\,(x)) = \frac{d^{2}f}{dg^{2}}\cdot \frac{dg}{dx} + \frac{df}{dg} \cdot \frac{d^{2}g}{dx^{2}}[/tex] (3)

The second derivative of the composition between two functions is described by the following expression:

[tex]\frac{d^{2}}{dx^{2}} (f\,\circ\,g\,(x)) = \frac{d^{2}f}{dg^{2}}\cdot \frac{dg}{dx} + \frac{df}{dg} \cdot \frac{d^{2}g}{dx^{2}}[/tex]

We kindly invite to check this question on chain rule: https://brainly.com/question/23729337

Answer:

16

Step-by-step explanation:

Set up a proportion

[tex]\frac{3}{45} = \frac{x}{240}[/tex]

Then, cross multiply.

[tex]720 = 45x\\16 = x\\x = 16[/tex]

Answer:

6

Step-by-step explanation:

Answer:

what question

Step-by-step explanation:

Answer:

  3

Step-by-step explanation:

we know that 23x7=161

so there will be 3 people on the last trip to the top

Answer:

A is correct.

C. is correct.

D. is correct.

Step-by-step explanation:

A follows the commutative property, putting two fractions in parenthesis, and follows PEMDAS to simplify the answer.

B uses other random numbers and does NOT follow the property.

C follows the commutative property too.

D. also follows the property, same as A and C.

I hope this is a multiple choice question.